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Firstly, you have to accept your fear and the fact that you are as stressed and anxious as everyone else in the committee about pubic speaking, while you shouldn't expect yourself to become a great public speaker from your first speech, You have to practice, practice, practice.
After doing a really good research on the issues of your agenda and your country's thesis on the issue, you must feel confident enough to represent it in front of people who will ask you questions later on, or even know these subjects better than you; you must feel confident enough to actually show that you know what you're talking about.
Then prepare your speech by writing keywords, important concepts or statements and quotes you are going to talk about. These don't only work as reminders, but in case you find yourself stuck, you can still take a look and move on at another aspect of the issue, so you won't feel awkward or lose valuable time of your speech.
Additionally, present your speech a couple of times in front of someone else or a mirror -I find the mirror to be distracting, so prefer to say it in front of a friend of mine you is an experienced delegate and can also correct me. Especially if English is not your mother tongue, and even if you are fluent, this will really help you because all the minor mistakes you haven't discerned when writing your speech will be noticed when you say it. Also, make sure you present the main idea/point of the speech during the first minute of your speech so that the other delegates won't feel tired or confused and will be able to focus and understand you.
Later, you will be at the conference, ready to present your speech in front of people/make a point of information in front of people/deliver a speech in favor or against a clause or resolution.
In case you have just written keywords and have to improvise a bit for your speech, remember to use some tricks that will help you to captivate your audience's attention, the first one is structuring your speech so that it won't sound confusing. The main thing you should think about is making it easy for the rest of the delegates to follow up the flow of your points and ideas. Try to use antitheses, highlighting your thesis, making use of repetition, imagery and having a balance of facts and logical connections, but also of emotion and real-life examples.
If you have already written all of your speech on paper, be careful to use letters that are large enough for you to be able to read them without having to look too closely at the paper; this is generally a thing that you should avoid since your focus should be on the things you say and on your audience. If you look like you don't know or believe what you say, or you don't maintain eye-contact with your audience, you will start feeling less confident, and fewer people will pay attention to you.
In addition, body language is important too: you shouldn't move too much looking anxious and nervous -while distracting everyone from what you have to say- but you shouldn't look like a frozen, awkward-looking statue either. Try to feel comfortable and not to feel uncomfortable of the space around you. Take deep breaths, and focus on each word you say and the way you say it while you are speaking. While you are doing that, any gestures and eye contact will come naturally.
Also, instead of thinking of your nervousness or your exhaustion as disadvantages, try to make use of them for your pace (by recognizing your problem you have already made a big step towards paying a little more attention to it and not making it very obvious): if you feel tired, you can maintain a slower, more calm rhythm, and emphasize the depth of your voice. If you feel nervous, you can use it to pay more attention to your audience, responding to it with your body language (e.g. if they seem uninterested make better eye contact) and taking advantage of your energy.
Keeping these tips and strategies in mind will definitely help you, and always remember that you will improve and feel even more confident with each speech you deliver.